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312213101114131 = 764375192363881
BaseRepresentation
bin100011011111101001100011…
…0111111000111001100010011
31111221110021120211100221010021
41012333103012333013030103
5311410244412341123011
63024004415114444311
7122522436461206450
oct10677230677071423
91457407524327107
10312213101114131
1190531918222478
122b024ba7a33697
13105297524291b9
1457152a2462827
1526165a4e7a471
hex11bf4c6fc7313

312213101114131 has 16 divisors (see below), whose sum is σ = 357845757488128. Its totient is φ = 266839249320000.

The previous prime is 312213101114107. The next prime is 312213101114209. The reversal of 312213101114131 is 131411101312213.

It is not a de Polignac number, because 312213101114131 - 25 = 312213101114099 is a prime.

It is a super-2 number, since 2×3122131011141312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312213101114096 and 312213101114105.

It is not an unprimeable number, because it can be changed into a prime (312213101114531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42801690 + ... + 49562191.

It is an arithmetic number, because the mean of its divisors is an integer number (22365359843008).

Almost surely, 2312213101114131 is an apocalyptic number.

312213101114131 is a deficient number, since it is larger than the sum of its proper divisors (45632656373997).

312213101114131 is an equidigital number, since it uses as much as digits as its factorization.

312213101114131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92365282.

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 312213101114131 its reverse (131411101312213), we get a palindrome (443624202426344).

The spelling of 312213101114131 in words is "three hundred twelve trillion, two hundred thirteen billion, one hundred one million, one hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 7 643 751 4501 5257 482893 3380251 92363881 646547167 59389975483 69365274631 415729828381 485556922417 44601871587733 312213101114131